Giambi was hit on the elbow by a Matt Garza pitch in the second inning but stayed in the game to get another at-bat before being lifted for Bobby Crosby in the fifth. Giambi's listed as day-to-day and was expected to get the day off Sunday anyway.
Oakland right fielder Ryan Sweeney also left the game early Saturday, but for a different reason. Sweeney was lifted for Rajai Davis in the second inning by manager Bob Geren because he didn't run out a popout to shortstop.
"Sweeney popped a ball up and I didn't like the way he ran down the line," Geren said. "I removed him for that reason."
Davis finished the game 2-for-2 with a game-tying two-run home run and two runs scored.
Giambi has been in a deep slump offensively recently and is just 5-for-48 over the last 16 games, dropping his batting average to .193.
Geren would not comment on whether or not Sweeney's punishment for not hustling is over.
"Ryan is a great kid," Geren said. "He plays the game as hard as anybody. Sometimes people take their frustrations out in different ways. He popped out, he got frustrated, and for some reason he didn't run. He's never made that mistake before and I'm sure after today he'll never make it again."
Zach Schonbrun is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.